Solving second-order systems of ordinary differential equations using genetic algorithm based on Padé approximant

A numerical algorithm of combination of genetic algorithm with Padé Approximant is applied to solve a class of linear and nonlinear second-order systems of ordinary differential equations. In this method, the system is converted into an optimization problem by minimization of the overall value of fi...

Full description

Saved in:
Bibliographic Details
Main Authors: Alazzawi, Rehem H. S., Aladool, Azzam S. Y.
Format: Conference Proceeding
Language:English
Subjects:
Differential equations
Genetic algorithms
Mathematical analysis
Nonlinear systems
Numerical analysis
Pade approximation
Penalty function
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A numerical algorithm of combination of genetic algorithm with Padé Approximant is applied to solve a class of linear and nonlinear second-order systems of ordinary differential equations. In this method, the system is converted into an optimization problem by minimization of the overall value of fitness function. The fitness function is computed by the sum of the value of discrete lest square weighted function and the value of a penalty function. In this paper, the applicability, and accuracy of the use of genetic algorithm based on Padé Approximant for solving linear and non-linear second order systems of differential equations are investigated. additionally, the convergence analysis is also discussed. The outcomes show the ability of Genetic algorithm based on Padé approximant of solving linear and nonlinear second-order Systems of Ordinary Differential Equations.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0161422